In the figure, S is a small loudspeaker driven by an audio oscillator and amplifier, adjustable in frequency from 1300 to 2400 Hz only.Tube D is a piece of cylindrical sheet-metal pipe 50.0 cm long and open at both ends. (a) If the speed of sound in air is 344 m/s at theexisting temperature, at how many frequencies will a resonance occur in the pipe when the frequency emitted by the speaker is variedfrom 1300 Hz to 2400 Hz? (b) What is the lowest resonant frequency in the given interval?(a) NumberUnits(b) NumberUnits

This question is based on resonance and standing wave in air column.

Answered: In the figure, S is a small loudspeaker…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 10OQ

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A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?
A sound wave arriving at your ear is transferred to the fluid in the cochlea. If the intensity in the fluid is 0.410 times that in air and the frequency is the same as for the wave in air, what will be the ratio of the pressure amplitude of the wave in air to that in the fluid? Approximate the fluid as having the same values of density and speed of sound as water. Speed of sound in dry air (20.0°C, 1.00 atm) is 343 m/s, density of dry air (at STP) is 1.29 kg/m3, density of water is 1000 kg/m3, and speed of sound in water is 1493 m/s.
An open-pipe resonator has a fundamental frequency of 250.0 Hz. By how much would its length have to be changed to get a fundamental frequency of 300.0 Hz? (Assume the speed of sound is 331m/s.)
If a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3.0 x 103 Hz, what is the length of the canal? Use a normal body temperature of 37.0°C for your determination of the speed of sound in the canal.
A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. If the tube is 0.260 m long, by taking air temperature to be 37.0∘C? What would this frequency become if the person's breathing passage were filled with hydrogen instead of air? Assume the same temperature dependence for hydrogen as for air.
A 2.29-m long organ pipe acts as a closed-end resonator that produces several different harmonic frequencies in the audible range from 20 Hz to 20,000 Hz. Assuming a speed of sound of 343 m/s, determine the 5th highest frequency that the pipe can produce.
The auditory canal of the outer ear acts as a closed end resonator which has a natural frequency of around 3500 Hz. This canal serves to amplify sounds with frequencies around this value, thus making us more sensitive to such frequencies. If the speed of waves inside the canal is 350 m/s, then what is the estimated length of the canal?
An air column, open at one end and closed at the other, is being designed so that its second lowest resonant frequency is 440 Hz. What should be the length of the column if the speed of sound in air is 340 m/s?
One string of a certain musical instrument is 74.0 cm long and has a mass of 8.76 g. It is being played in a room where the speed of sound is 344 m/s. To what tension must you adjust the string so that, when vibrating in its second overtone, it produces sound of wavelength 0.760 m ? (Assume that the breaking stress of the wire is very large and isn’t exceeded.) What frequency sound does this string produce in its fundamental mode of vibration?
S is a small loudspeaker driven by an audio oscillator with a frequency that is varied from 1000 Hz to 2000 Hz, and D is a cylindrical pipe with two open ends and a length of 45.7 cm.The speed of sound in the air-filled pipe is 344 m/s. (a) At how many frequencies does the sound from the loudspeaker set up resonance in the pipe? What are the (b) lowest and (c) second lowest frequencies at which resonance occurs?
The range of human hearing is roughly from 20 Hz to 20 kHz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe organ?
Calculate the pressure amplitude (in m) of a 45 kHz sound wave in pure hydrogen if it has adisplacement amplitude of 1.5 mm. (ρH2 = 0.08 kg/m3, v = 1286 m/s.)

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